A directed graph G has 5 vertices, numbered 1 through 5. The 5 x 5 matrix A is the adjacency matrix for G. The matrices A2 and A3 are given below. 0 0 1 0 0 0 0 0 1 0 A² = 0 0 0 0 1 A3= 10100 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 10100 0 1 0 1 0 0 0 1 0 1 Which edge is not in the transitive closure of G? (2,4) ○ (5,5) ○ (1,3) ○ (4,5)

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Chapter2: Second-order Linear Odes
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Question 13
A directed graph G has 5 vertices, numbered 1 through 5. The 5 x 5 matrix A is the adjacency
matrix for G. The matrices A2 and A3 are given below.
00100
0
0
0
1 0
0 0 0 1 0
10
0 0
0
0
1
A20000 1
A³ =
1 0
1
0
0
10 10 0
01
0 1 0
0 0 1 0 1
00101
Which edge is not in the transitive closure of G?
(2,4)
○ (5,5)
○ (1, 3)
○ (4,5)
Transcribed Image Text:Question 13 A directed graph G has 5 vertices, numbered 1 through 5. The 5 x 5 matrix A is the adjacency matrix for G. The matrices A2 and A3 are given below. 00100 0 0 0 1 0 0 0 0 1 0 10 0 0 0 0 1 A20000 1 A³ = 1 0 1 0 0 10 10 0 01 0 1 0 0 0 1 0 1 00101 Which edge is not in the transitive closure of G? (2,4) ○ (5,5) ○ (1, 3) ○ (4,5)
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